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Unformatted text preview: as specified. The next part asks us to find the solution corresponding to assuming that k = 6. We are then asked to sketch its graph. To start this problem off, we need to solve a differential equation. The equation for exponential growth is given by . We need to put our function into this form, then solve for the original function. From there we can plug in the given values and solve for the asked solution. Shown below are the calculations for the steps described above. is simply so we will solve the first integral and come back to this later. Apply u-substitution: Apply Trig substitution: by where Putting it all together: k=6 Now we apply the condition *Aside: If then Now when we plug B in we get: Now we need to solve for A: More creative algebra gives us the equation: A graph of the function looks something like:...
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This note was uploaded on 12/05/2011 for the course MATH 152 taught by Professor Sc during the Spring '08 term at Rutgers.
- Spring '08